Answer to Question #208834 in Algebra for Nonkululeko

Question

Use a diagrams to present the following:

1. 1/2 -1/8

2. 3/4 - 1/2

3. 1/2 - 1/8

4. 1/4 - 1/8

Answer 1

Use a diagrams to present the following:

1. ${1\over2} -{1\over 8}$

Rewrite the question using common denominator of 8

$=({1\over 2}\times{4\over 4})-{1\over 8}$

$={4\over 8}-{1\over 8}$

This can be represented in a diagram as follows

$\therefore$ ${4\over 8}-{1\over 8}={3\over 8}$

2.${3\over4} -{1\over 2}$

Rewrite the question using common denominator of 4

$={3\over 4}-({1\over 2}\times{2\over 2})$

$={3\over 4}-{2\over 4}$

This can be represented in a diagram as follows

$\therefore$ ${3\over 4}-{2\over 4}={1\over 4}$

3. ${1\over2} -{1\over 8}$

Rewrite the question using common denominator of 8

$=({1\over 2}\times{4\over 4})-{1\over 8}$

$={4\over 8}-{1\over 8}$

This can be represented in a diagram as follows

$\therefore$ ${4\over 8}-{1\over 8}={3\over 8}$

4. ${1\over 4 }-{ 1\over 8}$

Rewrite the question using common denominator of 8

$=({1\over 4}\times{2\over 2})-{1\over 8}$

$={2\over 8}-{1\over 8}$

This can be represented in a diagram as follows

$\therefore$ ${2\over 8}-{1\over 8}={1\over 8}$